APRIL 2002 Tools for Representing Fractions This article discusses fraction models. The terms representation and model are sometimes used almost interchangeably, but the two terms are not synonymous. For example, we use a model to represent a mathematical idea. The reason for this ambiguity is that both representation and model have several different meanings and share some meanings. A model ca...

FMC supports science based regulation, using a comprehensive risk assessment approach to ensure our products can be used without causing unreasonable harm to either human health or the environment. FMC appreciates the opportunity to provide comment on the California Office of Environmental Health Hazard Assessment's (OEHHA} posting dated September 9, 2016, of the Prioritization 2016: Chemicals ...

A stellarator is a toroidal plasma confinement concept that uses effects that arise in the absence of toroidal symmetry to maintain the magnetic configuration without the need for current drive. The largest magnetic fusion machines under construction are stellarators, and the plasma parameters achieved in stellarators are second only to those in tokamaks. Stellarators are poised for rapid progr...

In order to improve the advantages and the reliability of the second derivative method in tracking the position of extrema from experimental curves, we develop a novel analysis method based on the mathematical concept of curvature. We derive the formulas for the curvature in one and two dimensions and demonstrate their applicability to simulated and experimental angle-resolved photoemission spe...

FMC (Fixed Mobile Convergence) is a key concept of NGN (Next generation Network) and KDDI announced the Ultra 3G concept based on allIP network configuration, 3 years ago. Now, the Ultra 3G concept has evolved toward FMBC (Fixed Mobile Broadcast Convergence). This talk introduces how KDDI has been swiftly and reliably developing all-IP based networks and FMBC services.

The topic of diversity is an interesting subject, both as a purely mathematical concept and also for its applications to important real-life situations. Unfortunately, although the meaning of diversity seems intuitively clear, no precise mathematical definition exists. In this paper, we adopt an axiomatic approach to the problem, and attempt to produce a satisfactory measure.

Through a case study of a series of Galton Board activities, we try to offer some reflections about the possibility of integrating in the teaching model different tools, starting from completely physical activities and arriving through gradual steps of abstraction to the “virtualization” of the tools and to the corresponding abstraction of underlying mathematical concepts.

The marriage of art and mathematics has been widespread and productive, but almost nowhere more productive than in the world of origami. In this paper I will discuss how mathematical ideas led to the development of powerful tools for origami design and will present a step-by-step illustration of the design and realization of a representational origami figure using mathematical design algorithms...

Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving investigation and discovery activities. This paper presen...

Increasingly, companies are taking part in process improvement programmes, which brings about a growing need for employees to interpret and act on data representations. We have carried out case studies in a range of companies to identify the existence and need of what we call Techno-mathematical Literacies (TmL): functional mathematical knowledge mediated by tools and grounded in the context of...